minimax theorem 中文意思是什麼

minimax theorem 解釋
極小化極大定理
  • minimax : minimax演算法
  • theorem : n. 1. （能證明的）一般原理，公理，定律，法則。2. 【數學】定理。
  1. A minimax theorem generally involves three assumption conditions : space structures on sets x and y, the continuity of the functions and the concavity and convexity of functions

    一個極大極小定理一般涉及三個假設條件：集合x和y的空間結構，函數的連續性和函數的凹凸性。
  2. In chapter three, some new glkkm type theorems are proved. these theorems are then applied to obtain some matching theorems, fixed point theorems, a minimax inequality and a saddle point theorem

    在第三章中，我們證明了一些廣義l ? kkm型定理，然後運用它們得到了一些匹配定理，不動點定理，一個極大極小不等式以及鞍點定理
  3. At first, we introduce a class of generalized s - r - kkm type mapping in g - convex space, and establish generalized s - r - kkm type nonempty intersection theorem under the noncompact setting of g - convex space. as for application, some new minimax inequalities, saddle point theorem and existence theorem of maximal elements are proved in g - convex spaces ; second, by using the generalized r - kkm mapping and generalized r - kkm theorems in [ 13 ], some new existence theorem of maximal elements, existence theorem of equilibrium point for the abstract generalized vector equilibrium problem and existence theorem of solutions for equilibrium problem with lower and upper bounds are obtained in topological spaces

    首先，我們在g -凸空間內引入了廣義s - r - kkm型映像，並在非緊設置下建立了一類新的廣義s - r - kkm型非空交定理，作為應用，證明了g -凸空間內一些新的極大極小不等式、鞍點定理和極大元存在定理；其次，利用文[ 13 ]中引入的廣義r - kkm映像和廣義r - kkm定理，在拓撲空間上得到了一些新的極大元存在定理、抽象廣義矢量平衡問題平衡點的存在定理和有上下界的平衡問題解的存在性定理。
  4. Chapter one has introduced the background and classification of minimax theorems ; chapter two summarizes several proof method of minimax theorems, which are illustrated with examples ; chapter three has explained the development general situation of minimax theorems for a function and for two functions with chapter four respectively, and according to the classification of the theorem, has illustrated some important conclusionses in quantitative minimax theorems, topological minimax theorems and quantitative - topological minimax theorems separately

    第一章介紹了極大極小定理的背景及其分類；第二章總結了極大極小定理的幾種證明方法，並舉出例子進行說明；第三章和第四章分別闡述了單函數的極大極小定理和兩個函數的極大極小定理的發展概況，在第三章中，按照極大極小定理的分類，分別對數量極大極小定理，拓撲極大極小定理和數量拓撲極大極小定理的一些重要結論作了介紹。
  5. In chapter one, r - kkm mappings is discussed. the more general generalized l - r - kkm theorems are established in l - convex space. as applications, a minimax inequalities and a saddle point theorem are obtained in noncompact l - convex spaces

    章中，研究了r - kkm映像，在l -凸空間中得到了更為一般的廣義l - r - kkm型定理，給出了對極大極小不等式和鞍點存在問題的應用。
  6. The minimax theorem and variational inequality in interval space

    區間空間中的極大極小定理和變分不等式
  7. Since von neumann proved the first minimax theorem in 1928, rich fruits have been obtained about research on minimax theory

    自從vonneumann於1928年證明了第一個極大極小定理以來，關于極大極小理論的研究已經取得了豐碩的成果。
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